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Finding the Fourth Proportional to 3,514.31, 5,271.47 and 917.25

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Solution

The fourth proportional to 3,514.31, 5,271.47 and 917.25 is: 1,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.31 : 5,271.47 = 917.25 : x
  2. Step 2: Convert to fraction form
    3,514.31/5,271.47 = 917.25/x
  3. Step 3: Cross multiply
    3,514.31x = 5,271.47 × 917.25
  4. Step 4: Simplify right side
    3,514.31x = 4,835,255.86
  5. Step 5: Solve for x
    x = 4,835,255.86/3,514.31
  6. Step 6: Final answer
    x = 1,375.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.